D5 Math 30-1.docx - Mathematics 30-1 Module 4 D5 1 Assignment MODULE 4 LESSON 5 ASSIGNMENT(Trigonometric Equations\/20 marks 1 Go back to Focus at the

D5 Math 30-1.docx - Mathematics 30-1 Module 4 D5 1...

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Mathematics 30-1: Module 4 1 Assignment D5: MODULE 4 LESSON 5 ASSIGNMENT (Trigonometric Equations) /20 marks 1.Go back to Focus at the beginning of Lesson 5. How is the racing circuit an analogy for the concepts learned in the lesson? 3.Latoya determined two approximate solutions to the equation 3 sin2xtan2x1 to be these: x1.027 and x2.281. Verify that her solutions are correct. Explain your reasoning. 4.Solve sec2sec 2 using exact values overa.the domain 2x2 Answer: (3)θ= - π/3 , - π, π/3, π © 2012 Alberta Education
Mathematics 30-1: Module 4 2 Assignment b. the real numbers Answer: (3) - π/3 , - π, π/3, π 5. Janak has written a solution to the equation - + = 4 2 1 1 sin sin 2 16 x x . He correctly factored the expression and split the expression into two equations as shown. The remainder of Janak’s solution follows. This part of the solution is not correct. Determine the error(s) and write a correct solution. Answer: (3)The factored sign is wrong and it has a wrong general solution.sin^2 x -1/4=0 sin^2-1/4=0(sinx+1/2)=0 (sinx+1/2)=0sinx+(1/2)= 0 sinx+(1/2)= 0sinx=(-1/2) sinx=(-1/2)x=sin-1 (-1/2) x=sin-1 (-1/2)x= -π/6 x= -π/6x=-π/6 +2nπ, nEI © 2012 Alberta Education
Mathematics 30-1: Module 4 3 Assignment Submit your completed Lesson 5 Assignment to the dropbox D5 for assessment. © 2012 Alberta Education

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